6x^3-8x^2+8x=0

Simple and best practice solution for 6x^3-8x^2+8x=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 6x^3-8x^2+8x=0 equation: 


Simplifying
6x3 + -8x2 + 8x = 0

Reorder the terms:
8x + -8x2 + 6x3 = 0

Solving
8x + -8x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + -4x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(4 + -4x + 3x2)' equal to zero and attempt to solve:

Simplifying
4 + -4x + 3x2 = 0

Solving
4 + -4x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1.333333333 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.333333333x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.333333333x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -1.333333333
-1.333333333x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.333333333x + x2 = -1.333333333

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -1.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -1.333333333 + 0.4444444442

Combine like terms: -1.333333333 + 0.4444444442 = -0.8888888888
0.4444444442 + -1.333333333x + x2 = -0.8888888888

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| (x+3)*(x+3)*(x+3)*(x+3)=5x+30 | | 12x^3-8x^2+2x=0 | | 12x^3-8-x^2+2x=0 | | -5y=-6 | | 7/8x=-6 | | p=200-2q | | 4(x-2)=5x-7 | | 5.4/5 | | 4x^3-2x-12=0 | | s^2-t^2-2s-4t-3=-(t-s+3)(t+s+1) | | s^2-t^2-2s-4t-3=(t-s+3)(t+s+1) | | Z^2+z+2=O | | 6(3s+1)=132 | | (u-5)*8=80 | | (q-7)*4=8 | | 9x^2-9xy-8x+8y=0 | | 1.1/6 | | y=ln(6x^2-7x+2) | | 2y(7-y)+3y=26 | | x(2x+5)=7x-(x-1)(x+3) | | 2x^2-2x+3=-2(x^2-x-1) | | 4/r | | x-2=x^2-16x+64 | | 5*4-(6/2)=x | | 5*(4-6/2)=x | | 101-17= | | x^3=9x^2+10x | | 210/21x | | x/17=26 | | 9x+9y-2xy+19=0 | | -27+64m^3=0 | | 125r^2-50r+5=0 |

Equations solver categories